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Evaluate [(337)^(2)-(336)^(2)]....

Evaluate `[(337)^(2)-(336)^(2)].`

A

`671`

B

`672`

C

`673`

D

`674`

Text Solution

AI Generated Solution

The correct Answer is:
To evaluate \((337)^2 - (336)^2\), we can use the difference of squares formula, which states that: \[ a^2 - b^2 = (a - b)(a + b) \] ### Step-by-step solution: 1. **Identify \(a\) and \(b\)**: - Here, let \(a = 337\) and \(b = 336\). 2. **Apply the difference of squares formula**: - According to the formula, we can write: \[ (337)^2 - (336)^2 = (337 - 336)(337 + 336) \] 3. **Calculate \(a - b\)**: - Calculate \(337 - 336\): \[ 337 - 336 = 1 \] 4. **Calculate \(a + b\)**: - Calculate \(337 + 336\): \[ 337 + 336 = 673 \] 5. **Multiply the results**: - Now, substitute back into the formula: \[ (337)^2 - (336)^2 = 1 \times 673 = 673 \] ### Final Answer: Thus, the value of \((337)^2 - (336)^2\) is \(673\). ---
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